The probability that both numbers will be even will be ( 1 / 4 ). The correct option is C.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that two 12-sided dice are rolled and need to calculate the probability of getting an even number.
Number of favorable outcomes = 6 x 6 = 36
Number of sample = 12 x 12 = 144
The probability of getting an even number will be calculated as:-
Probability = Number of favorable outcomes / Number of sample
Probability = 36 / 144
Probability = 1 / 4
Therefore, the probability that both numbers will be even will be ( 1 / 4 ). The correct option is C.
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Which is the simplified form of the expression
1 - StartFraction 1 Over q Superscript 30 Baseline EndFraction
2 - q Superscript 30
3 - StartFraction p Superscript 12 Baseline Over q Superscript 60 Baseline EndFraction
4 - p Superscript 12 Baseline q Superscript 60
Answer:
1/q^30
Step-by-step explanation:
Simplified
Your friend comes from a large family. This list shows the ages of all of the children in her family. What is the median age of the children?
12, 9, 15, 7, 9, 13, 16
OPTIONS:
A. 11 4/7
B. 7
C. 12
D. 9
Answer:
It is 11 and 4/7 I am pretty sure hope I helped!
An empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams. The equation W = 250 + 132.5T represents the relationship between the quantities in this situation, where W is the weight, in grams, of the filled box and T the number of shirts in the box. Select two possible solutions to the equation W = 250 + 132.5T .
Answer:
For 20 t shirts the weight is 2900 grams
and for 25 t- shirts the weight is 3562.5 gms
Step-by-step explanation:
W = 250 + 132.5T
1) If we know the total weight we can find the number of t- shirts and
2) if the number of shirts are known the total weight can be calculated.
For example if the expression W= 250 + 132.5T is written like is written like
2900 = 250 + 132.5T
2900-250 = 132.5T
T = 2650/132.5= 20 shirts
Similarly if we have 25 t- shirts then the weight would be
W = 250 + 132.5(25)
W= 250+ 3312.5= 3562.5 gms
The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 10.
Answer:
Answer:
The probability of obtaining the sum of 10 is 1/12 or 0.0833
Step-by-step explanation:
Given
2 fair dice
Required
Probability of obtaining the sum of 10
To solve this, we have to list out the sample space.
Sample space is the total possible sum that can be obtained when she rolls the dice.
Let the first die be represented with S1 and the second be represented with S2.
S1 = {1,2,3,4,5,6}
S2 = {1,2,3,4,5,6}
To get the sample space, we have to add individual elements of S1 and S2.
This is done as follows.
When S1 = 1 and S2 = {1,2,3,4,5,6}
Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6
Sum = 2, 3, 4, 5, 6, 7
When S1 = 2 and S2 = {1,2,3,4,5,6}
Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6
Sum = 3,4,5,6,7,8
Using the same pattern as used above
When S1 = 3 and S2 = {1,2,3,4,5,6}
Sum = 4,5,6,7,8,9
When S1 = 4 and S2 = {1,2,3,4,5,6}
Sum = 5,6,7,8,9,10
When S1 = 5 and S2 = {1,2,3,4,5,6}
Sum = 6,7,8,9,10,11
When S1 = 6 and S2 = {1,2,3,4,5,6}
Sum = 7,8,9,10,11,12
Writing out the Sum, will give us the sample space.
Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}
The sample space has a total of 36 elements
To calculate the probability of obtaining the sum of 10,
We have to count the number of 10's in the sample space
Number of 10 = 3
Probability = Number of 10 / Number of Sample Space
Probability = 3 / 36
Probability = 1/12
Probability = 0.0833
Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833
Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
Answer:
55
Step-by-step explanation:
If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.
2x - 1.50 = 1.50x I need help Plss
Answer:
x=3
Step-by-step explanation:
2x - 1.50 = 1.50x
.50x = 1.50
x=3
What does F(1) represent ?
Answer:
F(1) represents the first term of the sequence.
Step-by-step explanation:
Let us suppose the sequence function
[tex]F(n) = 16-3n[/tex]
We can find the first term of the sequence by substituting n=1 in the function sequence
[tex]F(1) = 16-3(1)[/tex]
[tex]= 16-3[/tex]
[tex]=13[/tex]
We can find the 2nd term of the sequence by substituting n=2 in the function sequence
[tex]F(2) = 16-3(2)[/tex]
[tex]= 16-6[/tex]
[tex]=10[/tex]
We can find the 3rd term of the sequence by substituting n=3 in the function sequence
[tex]F(3) = 16-3(3)[/tex]
[tex]= 16-9[/tex]
[tex]=7[/tex]
So the first three terms of the sequence is:
13, 10, 7...
As the common difference is the same.
i.e. d = 10-13 = -3, d = 7-10 = -3
Hence, it is an Arithmetic sequence.
As the first term is 13, which can be obtained by putting n=1 in the function sequence.
Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.
If 5 men paint a wall in 3hours,
How many men will paint the same wall in 3/4 hours,
working at the same rate
a)5
b)10
c)15
d)20
e)24
Answer:
20 men will paint the same wall in 3/4 hours.
Step-by-step explanation:
Given information is:
5 men paint a wall in 3 hours
Let x be the number of men
It is also mentioned that the rate will be same with x men. So we have to put both the rates/proportions equivalent to find the number of men.
So,
[tex]men * hours = men*hours\\5*3 = x*\frac{3}{4}\\15 = \frac{3}{4}x\\x = \frac{4}{3} * 15\\x = 20[/tex]
Hence,
20 men will paint the same wall in 3/4 hours.
California, the most populous state, has approximately 4 x 107 people living in it. The population of the entire United States is approximately 3 x 108 . About how many times greater is the population of States than the population of California
Answer:
3 x 108 =324 United States
4 x 107 =428 california
Step-by-step explanation:
United States is 3 times greater while california is 4 time greater
do yall know this one?
Answer:
8x
Step-by-step explanation:
it's the slope
y = 8x or y = 8/1x
Do not place /1.
The system understands that there is a invisible 1 that's how all whole number can turn into equations.
TheStudent Government buys sweatshirts for $10 and sells them for $25. Find the percent of increase.
Answer:
4
Step-by-step explanation:
4444
Every week, a car dealer ship sells at least 5 minivans. Write an inequality that represents this situation. Let c represent the number of minivans sold each week.
Answer:
An inequality 'c ≥ 5' represents this situation.
Step-by-step explanation:
We know that the inequality symbol '≥' represents 'at least'.
For example, 'x≥y' means 'x' is greater than or equal to b. It means 'x' is at least equal to 'y'.
Let 'c' represent the number of minivans sold each week.
As a car dealer ship sells at least 5 minivans. It means the dealer can also sell more than 5.
i.e. c ≥ 5
Therefore, an inequality 'c ≥ 5' represents this situation.
Can someone plz help with 7-8 plz ASAP will give 10 points and mark brainliest
7. c
8. d
those are the answers
114 + 70 + n ≥ 200
184 + n ≥ 200
n ≥ 200 -184
n ≥ 16
what is the value of x?
Coach South and Mr. Dr. Coach Rhodes are having a problem solving competition. Mr. Dr. Coach Rhodes can solve four more problems than twice the number of Coach South. If Mr. Dr. COach Rhodes has solved twenty problems, how many problems has Coach South solved?
9514 1404 393
Answer:
8
Step-by-step explanation:
Let s represent the number of problems Coach South solved. Then Mr Dr Coach Rhodes solved ...
2s +4 = 20
2s = 16
s = 8
Coach South solved 8 problems.
plz help me its do today
There are two types of cellular phones, handheld phones (H)that you carry and monile phones (M) that are mounted invehicles. Phone calls can be classified by the travelingspeed of the user as fast (F) or slow (W). The probabilitymodel for this experiment has the following information: P[F] =0.5, P[HF] = 0.2, P[MW] = 0.1. What is the sample space ofthe experiment? Calculate the followng probabilites:a) P[W]b) P[MF]c) P[H]
Answer:
Explained below.
Step-by-step explanation:
(1)
Sample space is a set of all possible outcomes of an experiment.
The sample space in this case is:
S = {HF, HW, MF, MW}
(a)
Compute the value of P (W) as follows:
P (F) + P (W) = 1
P (W) = 1 - P (F)
P (W) = 1 - 0.50
P (W) = 0.50
(b)
Compute the value of P (MF) as follows:
P (HF) + P (MF) = P (F)
P (MF) = P (F) - P (HF)
P (MF) = 0.50 - 0.20
P (MF) = 0.30
(c)
Compute the value of P (M) as follows:
P (M) = P (MF) + P (MW)
P (M) = 0.30 + 0.10
P (M) = 0.40
Compute the value of P (H) as follows:
P (H) + P (M) = 1
P (H) = 1 - P (M)
P (H) = 1 - 0.40
P (H) = 0.60
Solve the following system of equations algebraic
y=x^2+3x-29
y=2x-9
Step-by-step explanation:
Given equations:
y = x² + 3x - 29 ------ (i)
y = 2x - 9 ---------------- (ii)
Now to solve this problem, we must determine the value of x and y;
Equate equations 1 and 2;
x² + 3x - 29 = 2x - 9
x² + 3x - 2x - 29 + 9 = 0
x² + x - 20 = 0
x² + 5x - 4x - 20 = 0
x(x + 5 ) - 4(x + 5) = 0
(x - 4) (x+ 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5;
So; solve for y now;
y = 2x - 9
input x = 4 or x = -5;
y = 2(4) - 9 or y = 2(-5) - 9
y = -1 or y = -19
Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.
Answer:
Step-by-step explanation:
25.30*8% tax = 2.02 tax
total 25.30+2.02= $27.32
Answer:
$27.32
Step-by-step explanation:
Multiply $25.30 by 0.08 (8% is equal to 0.08)
2.024
Add 2.024 to $25.30
That would be 27.324
Round to the nearest hundredth
$27.32
Hope this helps :)
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Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
Answer:
The answer is 86.08, hope this helps.
Step-by-step explanation:
Answer:
$86.08
Step-by-step explanation:
If Dan makes $5.38 for HALF an hour how much does he make for a full hour? He makes $10.76 for an entire hour.
$10.76 x 8= $86.08
ILL MARK U BRAINLIEST!!!
Answer:
20
Step-by-step explanation:
first take out the cost of the cup 31.75-6.75=25
then divide by the cost of the refills 25/1.25=20
hope this helps :)
I have 10 minutes left someone help
Answer: there is no question. Its empty
Step-by-step explanation:
Answer:
with what
Step-by-step explanation:
1. Prove that root15 is irrational
-
Step-by-step explanation:
V15 is rational ( contradiction method). V15=a/b (a and b are not common factor). squaring on both sides, we get, 15= a^2/b^2. 15b^2=a^2 (a=15c) b^2=15/a^2 (assume, a^2 =225c^2) 15b^2=225c^2 b^2=225c^2/15 b^2=15c^2 c^2=15/b^2 c =15/b. 15 divided both a and b which is a contradiction. ie, is irrational.
What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.
the answer is m = 0. i hope this helps-
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line
vertical line
Answer:
Horizontal line ⇒ y = -4
Vertical line ⇒ x = -3
Step-by-step explanation:
The line is horizontal if the y-coordinates of all points lie on it have the same valueThe equation of the horizontal line that passes through the point (a, b) is y = bThe line is vertical if the x-coordinates of all points lie on it have the same valueThe equation of the vertical line that passes through the point (a, b) is x = a∵ A horizontal line passes through the point (-3, -4)
→ That means the y-coordinates of all points on the line have
the same value
∴ The equation of the line is y = -4
∵ A vertical line passes through the point (-3, -4)
→ That means the x-coordinates of all points on the line have
the same value
∴ The equation of the line is x = -3
For every $890 lawn
mower Kelly sells, she
gets a commission of
$178. What percentage
is Kelly's
commission?
Answer:
20%
Step-by-step explanation:
178/890= .2 or 20%
What's 8.517 in expanded form
Answer:
8.517 in expanded form is 8*1) + (5*0.1) + (1*0.01) + (7*0.001). 8.517 in word form is eight and five hundred seventeen thousandths.
Please help someone
2/5
Answer:
B
Step-by-step explanation:
Answer:
B is correct
Step-by-step explanation:
√5 ≈ 2,24
since it is - √5 the answer must be -2,24 so B is correct
How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?
The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.
The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.
The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.
The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.
The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.
Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.
Answer: A) shift up 7 units
Step-by-step explanation:
The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.
Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.